Finite element method for hydrodynamic mass with nonstationary fluid
Abstract
In this investigation, a method has been developed for determining the hydrodynamic mass of a body in fluid. It is applied to the impeller stage of a centrifugal pump. In comparison with other added mass approaches, two main features have been included: (1) an accurate representation of the threedimensional geometry of the pump; and (2) the effects of the velocity of the fluid. The method is based on a linear perturbation technique which assumes that the disturbance in the pump's flow boundaries and velocities caused by motion of the rotor are small. A potential method is used to estimate the velocity flow fields. The hydrodynamic mass is then obtained by calculating the total force which results from the pressures induced by perturbation of the rotor.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 July 1984
 DOI:
 10.1016/00457825(84)901427
 Bibcode:
 1984CMAME..44..177L
 Keywords:

 Centrifugal Pumps;
 Computational Fluid Dynamics;
 Finite Element Method;
 Flow Velocity;
 Incompressible Fluids;
 Pump Impellers;
 Annular Flow;
 Bernoulli Theorem;
 Hydrodynamics;
 Inviscid Flow;
 KuttaJoukowski Condition;
 Laplace Equation;
 Nuclear Power Plants;
 Perturbation Theory;
 Fluid Mechanics and Heat Transfer